Mixed Elastico-Plasticity Problems with Partially Unknown Boundaries

In this paper,we study mixed elastico-plasticity problems in which part of the boundary is known,while the other part of the boundary is unknown and is a free boundary.Under certain conditions,this problemcan be transformed into a Riemann-Hilbert boundary value problem for analytic functions and a mixed boundaryvalue problem for complex equations.Using the theory of generalized analytic functions,the solvability of theproblem is discussed.     

欧拉常数γ的几种表示

调和级数∑n=1^∞1/n是发散的，而极限lim n→∞（∑k=1^∞1/k-lnn）却是收敛的，其极限值称为欧拉常数γ，本文给出了欧拉常数γ的几个有趣的级数表示和积分表示．     

Cn(0,1)中B—调和函数的等价条件

在文[1]中指出:如果定义在Cn(0,1)的特征流形上的实可积函数φ(σ)是Cn(0,1)中某B—调和函数的极限,那末它必须满足如本文(2)式所示的可数集条件。在这篇文章里,假定φ(σ)满足H(?)lder条件,证明这个可数集条件是充要条件,并且得到了它的另外二个等价条件。     

A MODIFIED ALGORITHM FOR DEALING WITH HOLDER FRICTION BOUNDARY CONDITION IN SIMULATION OF SHEET METAL FORMING

I. INTRODUCTIONSheet metal forming is an important metal forming technology, which has found wide applicationin automobile body, especially car body production[1]. With the constantly increasing demand forshape, quality and dimension precision of stamped products, engineers are urged to keep improvingand perfecting the forming process, which also makes the numerical simulation technology for sheetmetal forming based on elasto-plastic large deformation FEM theory[2??6] employed more exten…     

The bifurcation threshold value of the chaos detection system for a weak signal＊

Recently, it has become an important problem to confirm the bifurcation threshold value of a chaos detectionsystem for a weak signal in the fields of chaos detection. It is directly related to whether the results of chaos detectionare correct or not. In this paper, the discrimination system for the dynamic behaviour of a chaos detection system fora weak signal is established by using the theory of linear differential equation with periodic coefficients and computingthe Lyapunov exponents of the chaos detection system; and then, the movement state of the chaos detection system isdefined. The simulation experiments show that this method can exactly confirm the bifurcation threshold value of thechaos detection svstem.     

A Note on Fundamental Limit of Quantum Dynamics Rate

The unified bound on the fundamental limit of quantum dynamics rate, as quietly recently obtained by Levitin and Toffoli [Phys. Rev. Lett. 103 （2009） 160502], is improved and refined. The improvement may be arbitrarily large in certain cases. In particular, this puts a limit on the operation rate of quantum gates allowed by quantum mechanics.     

常微分方程边值问题的高阶三对角OCI差分法

本文给出了二阶线性常微分方程两点边值问题(ODETPBVP)的高阶差分格式构造的基本思想,推导出六阶三对角OCI差分格式,并对端点有奇异性的方程进行了极限值处理,消去了奇异性,对边界层问题采用了非均匀网格上的六阶三对角OCI差分格式。通过大量的数值比较实验表明,这种高阶三对角OCI差分格式能很好地求解奇异性问题,固有不稳定性问题,奇异摄动问题,对生不稳定性问题和振荡性问题。     

Some Interesting Features for External Region of Spherical Symmetric Mass in New Theory of Gravitation VGM

This paper briefly discusses some interesting features for the external region of the spherical symmetric mass in the new theory of gravitation VGM, i.e. the theory of gravitation by considering the vector graviton field and the metric field, such as pseudo-singularity, curvature tensor, static limit, event horizon, and the radial motion of a particle. All these features are different from the corresponding features obtained from general relativity.     

二阶超极化率γ的Hartree-Fock极限值的再研究

用有限场(FF)方法,在ROHF/x-aug-cc-pVXZ(x=1～5或7,X=T,Q)水平上计算了C,N,O,F,OH和OH⁺等开壳层原子和分子、离子的二阶超极化率γ.与闭壳层原子和分子的计算结果相类似,γ随基组的增大出现一个拐点.拐点对应的γ值与数字轨道计算的γ值符合得较好,其平均相对误差分别为1.79%(x-aug-cc-pVTZ)和1.91%(x-aug-cc-pVQZ),故计算二阶超极化率γ不需使用g函数.进一步研究表明,用x-aug-cc-pVTZ系列基组不仅可以得到γ的Hartree-Fock极限值,而且可以用来作较准确的二阶超极化率相关效应的计算.     

一类m-相依随机变量序列加权和的极值分布

我们将证明一类m-相依随机变量序列加权和的极值分布定理．该定理既无需i．i．d．这一假设，也不必计算协变量部分和的极限值，更没有繁杂的有关条件分布方面的假设．更重要的是该定理的结论有许多统计方面的直接应用．